The main problem in a search for saddle points is that, since they are neither
minima nor maxima, one has to know energy on a multidimensional grid of
deformations (the often used and much simpler method of minimization with
imposed constraints may produce invalid results
[1]}, [2]}, [3]}, [4]}.
To find saddles on a grid we used the Imaginary Water Flow (IWF) technique.
This conceptually simple and at the same time very efficient (from a numerical
point of view) method was widely used and discussed before
[5]}, [6]}, [7]}, [8]}, [1]}, [3]}. The
number of numerically tractable deformation parameters
\(\lbrace \beta _{\lambda \mu }\rbrace \)  is practically limited.
More than five-dimensional grids, keeping in mind a subsequent interpolation,
are intractable in calculations for many (\(\sim \)  1000) nuclei. Including
mass- and axially-symmetric deformations (\(\beta _{20}\) , \(\beta _{40}\) ,
\(\beta _{60}\) , \(\beta _{80}\)  - see [11]}, [12]}, [13]}, [14]} together with both,
mass-asymmetry (\(\beta _{30}\) , \(\beta _{50}\) , \(\beta _{70}\) ) and triaxiality
(at least \(\beta _{22}\) ) would mean at least an eight-dimensional mesh
and was impossible at present.
